Tame automorphisms of C^3 with multidegree of the form (p_1,p_2,d_3)

Details Tame automorphisms of C^3 with multidegree of the form (p_1,p_2,d_3) Tame automorphisms of C^3 with multidegree of the form (p_1,p_2,d_3)

2009-04-08

arxiv.org/abs/0904.1266v1

Bull. Pol. Acad. Sci., Math. 59, No. 1, 27-32 (2011)

Mathematics

Algebraic Geometry

Scientific paper

10.4064/ba59-1-4

Let d_3 >= p_2 > p_1 >= 3 be integers such that p_1,p_2 are prime numbers. In
this paper we show that the sequence (p_1,p_2,d_3) is the multidegree of some
tame automorphisms of C^3 if and only if d_3 is in p_1*N+p_2*N, i.e. if and
only if d_3 is a linear combination of p_1 and p_2 with coefficients in N.

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